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225230418 = 23273135711
BaseRepresentation
bin11010110110010…
…11111001010010
3120200210220001100
431123023321102
5430124333133
634203245230
75403266310
oct1533137122
9520726040
10225230418
11106155a46
1263519816
133787c34a
1421cad0b0
1514b8ee13
hexd6cbe52

225230418 has 48 divisors (see below), whose sum is σ = 559593216. Its totient is φ = 64134720.

The previous prime is 225230387. The next prime is 225230419. The reversal of 225230418 is 814032522.

225230418 is a `hidden beast` number, since 225 + 23 + 0 + 418 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225230391 and 225230400.

It is not an unprimeable number, because it can be changed into a prime (225230419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36583 + ... + 42293.

It is an arithmetic number, because the mean of its divisors is an integer number (11658192).

Almost surely, 2225230418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225230418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279796608).

225230418 is an abundant number, since it is smaller than the sum of its proper divisors (334362798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225230418 is a wasteful number, since it uses less digits than its factorization.

225230418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 225230418 is about 15007.6786346190. The cubic root of 225230418 is about 608.4277507711.

The spelling of 225230418 in words is "two hundred twenty-five million, two hundred thirty thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 313 626 939 1878 2191 2817 4382 5634 5711 6573 11422 13146 17133 19719 34266 39438 39977 51399 79954 102798 119931 239862 359793 719586 1787543 3575086 5362629 10725258 12512801 16087887 25025602 32175774 37538403 75076806 112615209 225230418